Heavy Diquark Symmetry Constraints for Strong Decays

Abstract

The Heavy Diquark Symmetry (HDS) of Doubly Heavy Baryons (DHBs) provides new insights into the spectroscopy of these hadrons. We derive the consequences of this symmetry for the mass spectra and the decay widths of DHBs. We compare these symmetry constraints to results from a nonrelativistic quark model for the mass spectra and results from the ${}^3{P}_0$ model for strong decays. The quark model we implement was not constructed with these symmetries and contains interactions which explicitly break HDS. Nevertheless, these symmetries emerge. We argue that the ${}^3{P}_0$ model and any other model for strong transitions which employs a spectator assumption explicitly respects HDS. We also explore the possibility of treating the strange quark as a heavy quark and apply these ideas to $\Xi$, ${\Xi }_c$, and ${\Xi }_b$ baryons.

arXiv comment28 pages

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• Heavy Baryons in a Quark Model
• Mass spectra of doubly heavy baryons in the relativistic quark model
• Baryons with two heavy quarks
• Strong Decays of Charmed Baryons in Heavy Hadron Chiral Perturbation Theory
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
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Cited by in corpus (8)

• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• $b$-hadron spectroscopy study based on the similarity of double bottom baryon and bottom meson
• Production of double charmed baryons with the excited heavy diquark at LHC
• Strong decays of the low-lying doubly bottom baryons
• Exclusive Decays of the Doubly Heavy Baryon ${\Xi }_{bc}$
• The production of excited states of doubly heavy baryons at the Large Hadron Collider
• Light cone QCD sum rules study of the rare radiative ${\Xi }_{bb}^{\ast }\to {\Xi }_b\gamma$ decay